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Intelligent systems. Theory and applications, 2019, Volume 23, Issue 3, Pages 61–80 (Mi ista239)  
This article is cited in 4 scientific papers (total in 4 papers)

Part 2. Special Issues in Intellectual Systems Theory

The complexity of multidimensional rectangular circuits design

T. Sitdikov
Full-text PDF (465 kB) Citations (4)
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Abstract: A model of rectangular multidimensional circuits is considered in this paper. Logic gates are placed in cells of $d$-dimensional mesh. Each pair of adjacent cells is connected by a bus with at most $k$ wires. We establish Shannon function upper bound $\frac{2^n}{\min(n,d \log k)}$ for the complexity of this type of circuits.
Keywords: multidimensional circuits, multilayer circuits, Shannon function asymptotics, circuit complexity.
Document Type: Article
Language: Russian
Citation: T. Sitdikov, “The complexity of multidimensional rectangular circuits design”, Intelligent systems. Theory and applications, 23:3 (2019), 61–80
Citation in format AMSBIB
\Bibitem{Sit19}
\by T.~Sitdikov
\paper The complexity of multidimensional rectangular circuits design
\jour Intelligent systems. Theory and applications
\yr 2019
\vol 23
\issue 3
\pages 61--80
\mathnet{http://mi.mathnet.ru/ista239}
Linking options:
  • https://www.mathnet.ru/eng/ista239
  • https://www.mathnet.ru/eng/ista/v23/i3/p61
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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